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Finding the Fourth Proportional to 469.53, 704.91 and 274.71

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Solution

The fourth proportional to 469.53, 704.91 and 274.71 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.53 : 704.91 = 274.71 : x
  2. Step 2: Convert to fraction form
    469.53/704.91 = 274.71/x
  3. Step 3: Cross multiply
    469.53x = 704.91 × 274.71
  4. Step 4: Simplify right side
    469.53x = 193,645.83
  5. Step 5: Solve for x
    x = 193,645.83/469.53
  6. Step 6: Final answer
    x = 412.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.